Special version of the collocation method for integral equations of the second kind with singularities in the kernel

被引：0

作者：

N. S. Gabbasov

Z. Kh. Galimova

机构：

[1] Kazan Federal University Naberezhnye Chelny Institute,

[2] Naberezhnye Chelny Branch,undefined

[3] Kazan Institute of Economics,undefined

[4] Management,undefined

[5] and Law,undefined

来源：

Differential Equations | 2015年 / 51卷

关键词：

Integral Equation; Approximate Solution; Collocation Method; Linear Algebraic Equation; Special Version;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a linear integral equation of the second kind with fixed singularities in the kernel. For its approximate solution in the space of “pointwise smooth” functions, we suggest and justify a new version of the collocation method based on the use of special interpolation polynomials.

引用

页码：1236 / 1242

页数：6

共 50 条

[21] On Numerical Solving Integral Equations of the Third Kind with Singularities in a Kernel
Gabbasov, N. S.
Galimova, Z. Kh.
RUSSIAN MATHEMATICS, 2016, 60 (12) : 28 - 35
[22] A new version of the collocation method for a class of integral equations in the singular case
Gabbasov, N. S.
DIFFERENTIAL EQUATIONS, 2013, 49 (09) : 1142 - 1149
[23] Special Version of the Collocation Method for a Class of Integral Equations of the Third Kind Based on Hermite-Fejer Interpolation Polynomials
Solov'eva, Svetlana A.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2014, 7 (02): : 254 - 259
[24] The Collocation Method with Parabolic Splines for Integral Equations with Singularities
R. R. Pallav
A. A. Pedas
Differential Equations, 2003, 39 : 1343 - 1352
[25] Iterated Fast Collocation Methods for Integral Equations of the Second Kind
Chen, Zhongying
Long, Guangqing
Nelakanti, Gnaneshwar
Zhang, Yongdong
JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (03) : 502 - 517
[26] Iterated Fast Collocation Methods for Integral Equations of the Second Kind
Zhongying Chen
Guangqing Long
Gnaneshwar Nelakanti
Yongdong Zhang
Journal of Scientific Computing, 2013, 57 : 502 - 517
[27] A Novel Method for Solving Second Kind Volterra Integral Equations with Discontinuous Kernel
Noeiaghdam, Samad
Micula, Sanda
MATHEMATICS, 2021, 9 (17)
[28] SUPERCONVERGENT NYSTROM AND DEGENERATE KERNEL METHODS FOR INTEGRAL EQUATIONS OF THE SECOND KIND
Allouch, C.
Sablonniere, P.
Sbibih, D.
Tahrichi, M.
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2012, 24 (04) : 463 - 485
[29] New version of the collocation method for integro-differential equations in a special case
N. S. Gabbasov
Differential Equations, 2008, 44 : 1289 - 1296
[30] New version of the collocation method for integro-differential equations in a special case
Gabbasov, N. S.
DIFFERENTIAL EQUATIONS, 2008, 44 (09) : 1289 - 1296

← 1 2 3 4 5 →